振动切削刀杆参数化有限元设计研究
Parametric finite element method design of flexural vibration holderfor vibration cutting
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摘要: 基于振动切削刀杆的结构特点,从其动力学问题的基本方程出发,建立了三阶梯对称刀杆的参数化有限元动力学模型;利用有限元分析软件ANSYS的参数化设计语言APDL对其进行二次开发,编制程序绘制了阶梯刀杆尺寸对其谐振频率和夹紧间距影响的三维关系曲线,完成了三阶梯对称弯曲谐振刀杆的参数化有限元设计。对比本文有限元计算和文献1的解析计算与实验结果的差别,谐振频率和夹紧间距的计算误差分别为2.5%和3.5%,而相同的刀杆尺寸范围内解析法的计算误差分别是3%和5%。说明本文提出的方法能更好地逼近实验结果,从而为振动切削刀杆的设计提供了更加方便、准确的手段。Abstract: Based on the structural characteristics of vibration cutting holder and its basic equation of dynamic problem, the parametric finite element dynamic model for the symmetrical three-step vibration holder is given. The 3D curves displaying the variations of the resonance frequency and nodal pitch with the tool holder sizes have been drawn by the computer based on the redevelopment of the software ANSYS by using ANSYS Parametric Design Language (APDL), and the parametric finite element method design of the symmetrical three-step flexural vibration holder has been achieved. The calculating error of resonance frequency and nodal pitch with the present method are 2.5% and 3.5% respectively, and with the analytic method the corresponding calculating errors are 3% and 5% respectively in the same size range of the holder, it demonstrates that the present method can show better agreement with the experimental results, and it is a more convenient and accurate method for designing flexural vibration holder.